Relevant bibliographies by topics / Singularna matrica

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Singularna matrica'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Singularna matrica"

1

Radošević Medvidović, Ines, and Kristina Pedić. "Matrične faktorizacije." Zbornik radova 20, no. 1 (2018): 227–42. http://dx.doi.org/10.32762/zr.20.1.14.

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Matrice se dijele u različite klase, ovisno o formi i određenim svojstvima. Matrične faktorizacije ovise o svojstvima određene klase matrica pa su faktorizacije matrica od velikog značaja u teoriji matrica, pri analizi numeričkih algoritama i uopće u numeričkoj linearnoj algebri. Faktorizacija matrice A je prikaz matrice A kao produkta "jednostavnijih" matrica, što omogućuje jednostavnije rješavanje nekog problema. U teoriji matrica značajne su faktorizacije onih matrica kod kojih je moguća transformacija sličnost, kod što su Schurova dekompozicija, spektralna dekompozicija, singularna dekompo
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Lasserre, Jean B. "A formula for singular perturbations of Markov chains." Journal of Applied Probability 31, no. 3 (1994): 829–33. http://dx.doi.org/10.2307/3215160.

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We give formulas for updating both the steady-state probability distribution and the fundamental matrices of a singularly perturbed Markov chain. This formula generalizes Schweitzer's regular perturbation formulas to the case of singular perturbations.
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Lasserre, Jean B. "A formula for singular perturbations of Markov chains." Journal of Applied Probability 31, no. 03 (1994): 829–33. http://dx.doi.org/10.1017/s0021900200045381.

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We give formulas for updating both the steady-state probability distribution and the fundamental matrices of a singularly perturbed Markov chain. This formula generalizes Schweitzer's regular perturbation formulas to the case of singular perturbations.
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Romaniv, O. M., and A. V. Sagan. "$\omega$-Euclidean domain and Laurent series." Carpathian Mathematical Publications 8, no. 1 (2016): 158–62. http://dx.doi.org/10.15330/cmp.8.1.158-162.

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It is proved that a commutative domain $R$ is $\omega$-Euclidean if and only if the ring of formal Laurent series over $R$ is $\omega$-Euclidean domain. It is also proved that every singular matrice over ring of formal Laurent series $R_{X}$ are products of idempotent matrices if $R$ is $\omega$-Euclidean domain.
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Yoo, Heonjong, Zoran Gajic, and Kyeong-Hwan Lee. "Reduced-Order Algorithm for Eigenvalue Assignment of Singularly Perturbed Linear Systems." Mathematical Problems in Engineering 2020 (May 30, 2020): 1–10. http://dx.doi.org/10.1155/2020/3948564.

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In this paper, we present an algorithm for eigenvalue assignment of linear singularly perturbed systems in terms of reduced-order slow and fast subproblem matrices. No similar algorithm exists in the literature. First, we present an algorithm for the recursive solution of the singularly perturbed algebraic Sylvester equation used for eigenvalue assignment. Due to the presence of a small singular perturbation parameter that indicates separation of the system variables into slow and fast, the corresponding algebraic Sylvester equation is numerically ill-conditioned. The proposed method for the r
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Eskin, Alex, and Yonatan R. Katznelson. "Singular symmetric matrices." Duke Mathematical Journal 79, no. 2 (1995): 515–47. http://dx.doi.org/10.1215/s0012-7094-95-07913-7.

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Atkinson, David. "Singular Scattering Matrices." Journal of Nonlinear Mathematical Physics 12, sup1 (2005): 43–49. http://dx.doi.org/10.2991/jnmp.2005.12.s1.4.

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Gil, José J., Razvigor Ossikovski, and Ignacio San José. "Singular Mueller matrices." Journal of the Optical Society of America A 33, no. 4 (2016): 600. http://dx.doi.org/10.1364/josaa.33.000600.

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Lytova, A., and L. Pastur. "On a Limiting Distribution of Singular Values of Random Band Matrices." Zurnal matematiceskoj fiziki, analiza, geometrii 11, no. 4 (2015): 311–32. http://dx.doi.org/10.15407/mag11.04.311.

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Yakovets, V. P. "Asymptotic analysis of a singularly perturbed linear system with a singular limit pencil of matrices." Ukrainian Mathematical Journal 44, no. 1 (1992): 96–110. http://dx.doi.org/10.1007/bf01062632.

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Dissertations / Theses on the topic "Singularna matrica"

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Vera, Miler Jerković. "Primena uopštenih inverza u rešavanju fazi linearnih sistema." Phd thesis, Univerzitet u Novom Sadu, Fakultet tehničkih nauka u Novom Sadu, 2018. https://www.cris.uns.ac.rs/record.jsf?recordId=107117&source=NDLTD&language=en.

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Predmet izučavanja doktorske disertacije jeste postavljanje univerzalne metode za rešavanje fazi linearnih sistema primenom blokovske reprezentacije uopštenih inverza matrice. Pre svega, postavljen je potreban i dovoljan uslov za ekzistenciju rešanja fazi linearnog sistema. Zatim je data tačna algebarska forma rešenja i na kraju je predstavljen efikasan algoritam.<br>Thе subject of research of thesis is setting universal method for solving fuzzy linear systems using a block representation of generalized inversis of a matrix. A necessary and sufficienf condition for the existence solutions of f
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Kwizera, Petero. "Matrix Singular Value Decomposition." UNF Digital Commons, 2010. http://digitalcommons.unf.edu/etd/381.

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This thesis starts with the fundamentals of matrix theory and ends with applications of the matrix singular value decomposition (SVD). The background matrix theory coverage includes unitary and Hermitian matrices, and matrix norms and how they relate to matrix SVD. The matrix condition number is discussed in relationship to the solution of linear equations. Some inequalities based on the trace of a matrix, polar matrix decomposition, unitaries and partial isometies are discussed. Among the SVD applications discussed are the method of least squares and image compression. Expansion of a matrix a
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Peng, Yuanyuan. "On Singular Values of Random Matrices." Kent State University / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=kent1438253068.

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Fragkoulis, Vasileios C. "Random vibration of systems with singular matrices." Thesis, University of Liverpool, 2017. http://livrepository.liverpool.ac.uk/3011357/.

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In the area of stochastic engineering dynamics, a flourishing field of research has been connected to assessing the reliability of systems subjected to stochastic excitations. In particular, the development of analytical and numerical methodologies for the response statistics determination of multi-degree-of-freedom (MDOF) systems with potentially singular matrices are of high interest. These singular matrices can appear naturally in the systems governing equations of motion, for instance due to coupling of electro-mechanical equations in energy harvesting applications, or they are related to
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Xu, Wei Qiao Sanzheng. "Symmetric singular value decomposition of complex symmetric matrices." *McMaster only, 2006.

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鄭智文 and Che-man Cheng. "Some results on eigenvalues, singular values and orthostochastic matrices." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1991. http://hub.hku.hk/bib/B31232176.

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Cheng, Che-man. "Some results on eigenvalues, singular values and orthostochastic matrices /." [Hong Kong : University of Hong Kong], 1991. http://sunzi.lib.hku.hk/hkuto/record.jsp?B13019077.

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Tidefelt, Henrik. "Differential-algebraic equations and matrix-valued singular perturbation." Doctoral thesis, Linköpings universitet, Reglerteknik, 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-51653.

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With the arrival of modern component-based modeling tools for dynamic systems, the differential-algebraic equation form is increasing in popularity as it is general enough to handle the resulting models. However, if uncertainty is allowed in the equations — no matter how small — this thesis stresses that such equations generally become ill-posed. Rather than deeming the general differential-algebraic structure useless up front due to this reason, the suggested approach to the problem is to ask what assumptions that can be made in order to obtain well-posedness. Here, “well-posedness” is used i
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Ramírez, Contrera Francisco Jorge. "Matrices no negativas y aplicaciones a sistemas singulares de control." Doctoral thesis, Universitat Politècnica de València, 2012. http://hdl.handle.net/10251/15996.

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En esta tesis doctoral se ha abordado el estudio de los sistemas lineales singulares de control en tiempo discreto. Concretamente, la propiedad que se ha analizado corresponde a la no negatividad del sistema singular. Los sistemas singulares de control no negativos tienen múltiples aplicaciones en diferentes áreas como teoría de circuitos, economía, química, estudio de poblaciones, etc. De ahí el interés de abordar caracterizaciones de este tipo de sistemas. En primer lugar, en el capítulo 1, se realiza una introducción donde se detallan algunos antecedentes del tema y se introducen las notaci
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Nagata, Munehiro. "Studies on Accurate Singular Value Decomposition for Bidiagonal Matrices." 京都大学 (Kyoto University), 2016. http://hdl.handle.net/2433/215686.

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原著論文リスト[A1]: “The final publication is available at Springer via http://dx.doi.org/10.1007/s11075-012-9607-5.”. [A2]: “The final publication is available at Springer via http://dx.doi.org/10.1007/s10092-013-0085-5.”, [A3]: DOI“10.1016/j.camwa.2015.11.022”<br>Kyoto University (京都大学)<br>0048<br>新制・課程博士<br>博士(情報学)<br>甲第19859号<br>情博第610号<br>新制||情||106(附属図書館)<br>32895<br>京都大学大学院情報学研究科数理工学専攻<br>(主査)教授 中村 佳正, 教授 矢ｹ崎 一幸, 教授 山下 信雄<br>学位規則第4条第1項該当
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Books on the topic "Singularna matrica"

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Kei, Takeuchi, Takane Yoshio, and SpringerLink (Online service), eds. Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition. Springer Science+Business Media, LLC, 2011.

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Yanai, Haruo, Kei Takeuchi, and Yoshio Takane. Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-9887-3.

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Böttcher, Albrecht, Israel Gohberg, and Peter Junghanns, eds. Toeplitz Matrices and Singular Integral Equations. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8199-9.

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Wei, Li. A singular loop transformation framework based on non-singular matrices. Cornell Theory Center, Cornell University, 1992.

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5

Demmel, J. W. On computing accurate singular values and eigenvalues of acyclic matrices. Naval Postgraduate School, 1992.

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Demmel, James. Computing small singular values of bidiagonal matrices with guaranteed high relative accuracy. Courant Institute of Mathematical Sciences, New York University, 1988.

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7

Sezginer, R. The largest singular value of e{sup}x A{sub}o e -x is convex on convex sets of commuting matrices. Courant Institute of Mathematical Sciences, New York University, 1988.

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Bouchaud, Jean-Phillipe, and Marc Potters. Asymptotic singular value distributions in information theory. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.41.

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This article examines asymptotic singular value distributions in information theory, with particular emphasis on some of the main applications of random matrices to the capacity of communication channels. Results on the spectrum of random matrices have been adopted in information theory. Furthermore, information theorists, motivated by certain channel models, have obtained a number of new results in random matrix theory (RMT). Most of those results are related to the asymptotic distribution of the (square of) the singular values of certain random matrices that model data communication channels
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Takeuchi, Kei, Haruo Yanai, and Yoshio Takane. Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition. Springer, 2011.

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Zabrodin, Anton. Financial applications of random matrix theory: a short review. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.40.

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This article reviews some applications of random matrix theory (RMT) in the context of financial markets and econometric models, with emphasis on various theoretical results (for example, the Marčenko-Pastur spectrum and its various generalizations, random singular value decomposition, free matrices, largest eigenvalue statistics) as well as some concrete applications to portfolio optimization and out-of-sample risk estimation. The discussion begins with an overview of principal component analysis (PCA) of the correlation matrix, followed by an analysis of return statistics and portfolio theor
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Book chapters on the topic "Singularna matrica"

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Zhan, Xingzhi. "3. Singular Values." In Matrix Inequalities. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-540-45421-2_3.

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Yanai, Haruo, Kei Takeuchi, and Yoshio Takane. "Singular Value Decomposition (SVD)." In Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-9887-3_5.

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Böttcher, Albrecht, and Sergei M. Grudsky. "Singular Values." In Toeplitz Matrices, Asymptotic Linear Algebra and Functional Analysis. Hindustan Book Agency, 2000. http://dx.doi.org/10.1007/978-93-86279-04-0_5.

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Böttcher, Albrecht, and Sergei M. Grudsky. "Singular Values." In Toeplitz Matrices, Asymptotic Linear Algebra, and Functional Analysis. Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8395-5_5.

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Puntanen, Simo, George P. H. Styan, and Jarkko Isotalo. "Singular Value Decomposition." In Matrix Tricks for Linear Statistical Models. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-10473-2_20.

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Fritzsche, Bernd, Bernd Kirstein, and Andreas Lasarow. "On Rank Invariance of Schwarz-Pick-Potapov Block Matrices of Matrix-Valued Carathéodory Functions." In Toeplitz Matrices and Singular Integral Equations. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8199-9_10.

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Lyche, Tom. "The Singular Value Decomposition." In Numerical Linear Algebra and Matrix Factorizations. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-36468-7_7.

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Hiai, Fumio, and Dénes Petz. "Majorization and Singular Values." In Introduction to Matrix Analysis and Applications. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-04150-6_6.

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Yanai, Haruo, Kei Takeuchi, and Yoshio Takane. "Projection Matrices." In Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-9887-3_2.

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Porzio, Maria Michaela. "Quasilinear Parabolic and Elliptic Equations with Singular Potentials." In 2017 MATRIX Annals. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-04161-8_17.

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Conference papers on the topic "Singularna matrica"

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Fragkoulis, V. C., I. A. Kougioumtzoglou, A. A. Pantelous, and A. Pirrotta. "Higher order matrix differential equations with singular coefficient matrices." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4912578.

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Zhang, XueFeng, and YangQuan Chen. "Improvement of Strict LMI Admissibility Criteria of Singular Systems: Continuous and Discrete." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46690.

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This brief note considers the solutions of LMIs in the criteria for admissibility for continuous singular systems and discrete singular systems. The new criteria are given which are strict LMI and do not involve equality constraint. The main trait of the criteria is that they simplify and improve the existing results. To judge the admissibility of singular systems, only the lest solved variable P is introduced without involving the additional matrix Q in the corresponding LMIs. With the brief and simple results of this paper, the numbers of solved matrices are reduced from a pair of matrices t
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Zhang, XueFeng, and Yingbo Zhang. "Improvement of Admissibility of Linear Singular Fractional Order Systems." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-98329.

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Abstract This paper considers the least solutions of linear matrix inequalities (LMIs) in criteria of admissibility for continuous singular fractional order systems (FOS). The new criteria are given which are strict LMIs and do not involve equality constraint and with the less LMI decision variables. With brief and simple results of this paper, the numbers of solved matrices are reduced from a pair of matrices to just a matrix in which we can analyze singular fractional order systems with completely consistent format as normal systems.
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Belleza, Marcio, та Fábio Borges. "Construção de S-Boxes com Valores Ótimos de Não Linearidade Baseada em uma Relação entre o Multigrafo de Ramanujan e a Matriz da Transformação Afim". У Simpósio Brasileiro de Segurança da Informação e de Sistemas Computacionais. Sociedade Brasileira de Computação, 2019. http://dx.doi.org/10.5753/sbseg.2019.13974.

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Uma S-Box (caixa de substituição) deve ter pelo menos valores ótimos para não linearidade (N L), uniformidade diferencial e grau algébrico. Segundo a literatura, uma S-Box criptograficamente forte deve ter N L &gt; 100. O AES (Advanced Encryption Standard) usa uma matriz binária não singular S para construir sua S-Box. Muitos trabalhos escolhem S em aproximadamente 262 matrizes não singulares ou constroem S-Box aleatoriamente, sem garantir N L &gt; 100. Neste trabalho, identificamos que S pode ser estudada como uma matriz de adjacência (A(G)) de um multigrafo de Ramanujan e verificamos esta relaç
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Xu, Yong-Xian, Dilip Kohli, and Tzu-Chen Weng. "Direct Differential Kinematics of Hybrid-Chain Manipulators Including Singularity and Stability Analyses." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0199.

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Abstract A general formulation for the differential kinematics of hybrid-chain manipulators is developed based on transformation matrices. This formulations leads to velocity and acceleration analyses, as well as to the formation of Jacobians for singularity and unstable configuration analyses. A manipulator consisting of n nonsymmetrical subchains with an arbitrary arrangement of actuators in the subchain is called a hybrid-chain manipulator in this paper. The Jacobian of the manipulator (called here the system Jacobian) is a product of two matrices, namely the Jacobian of a leg and a matrix
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Anderson, Brian D. O., Manfred Deistler, Weitian Chen, and Alexander Filler. "AR models of singular spectral matrices." In 2009 Joint 48th IEEE Conference on Decision and Control (CDC) and 28th Chinese Control Conference (CCC). IEEE, 2009. http://dx.doi.org/10.1109/cdc.2009.5399891.

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Hitz, Markus A. "On computing nearest singular hankel matrices." In the 2005 international symposium. ACM Press, 2005. http://dx.doi.org/10.1145/1073884.1073909.

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Turner, William J. "Preconditioners for singular black box matrices." In the 2005 international symposium. ACM Press, 2005. http://dx.doi.org/10.1145/1073884.1073930.

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Mattson, Keith G., and Gordon R. Pennock. "A Geometric Inspection of Two 3-R Robots Manipulating a Four-Bar Linkage Payload: The Velocity Problems." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0099.

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Abstract This paper presents solutions to the forward and inverse velocity problems of two planar three-degree-of-freedom robots, with all revolute joints, manipulating a planar four-bar linkage payload. These kinematic problems are formulated in terms of two Jacobian matrices: one associated with the independent inputs to the robots, and the other associated with the payload outputs. The paper emphasizes how both Jacobian matrices can be obtained from a geometric inspection of the system. This provides kinematic insight into the system and is believed to be important in the design and control
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Kuo, Chin-Hsing, and Jian S. Dai. "Jacobian Analysis of a Fully Decoupled Parallel Manipulator for Minimally Invasive Surgery." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70579.

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This paper presents the Jacobian analysis of a parallel manipulator that has a fully decoupled 4-DOF remote center-of-motion for application in minimally invasive surgery. Owing to the special structure of the manipulator, the Jacobian matrix of the manipulator is expressed as a combination of three special Jacobian matrices, namely the Jacobian of motion space, Jacobian of constraints, and Jacobian of actuations. Based on these Jacobian matrices, the singular configurations of the manipulator are then identified. It shows that the configuration singularity only exists at the central point and
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Reports on the topic "Singularna matrica"

1

Parter, Seymour V. On the Distribution of the Singular Values of Toeplitz Matrices. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada161146.

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Demmel, James W., and William Gragg. On Computing Accurate Singular Values and Eigenvalues of Acyclic Matrices. Defense Technical Information Center, 1992. http://dx.doi.org/10.21236/ada255892.

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Taylor, Douglas J. Evaluation of Singular Electric Field Integral Equation (EFIE) Matrix Elements. Defense Technical Information Center, 2001. http://dx.doi.org/10.21236/ada389876.

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Su, Dong. Internal Alignment of the SLD Vertex Detector using a Matrix Singular Value Decomposition Technique. Office of Scientific and Technical Information (OSTI), 2002. http://dx.doi.org/10.2172/798957.

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Smith, Richard J., and Nicky L. Grant. Generalised Anderson-Rubin statistic based inference in the presence of a singular moment variance matrix. The IFS, 2019. http://dx.doi.org/10.1920/wp.cem.2019.05.

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Smith, Richard J., and Nicky L. Grant. Generalised Anderson-Rubin statistic based inference in the presence of a singular moment variance matrix. The IFS, 2019. http://dx.doi.org/10.1920/wp.cem.2019.0519.

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